34Chapter OneChemicalFoundations46. Apothecaries (druggists) use the following set of measures in theEnglish system:20 grains ap=1 scruple (exact)3 scruples=1 dram ap (exact)8 dram ap=1oz ap (exact)1 dram ap=3.888 ga. Is an apothecary grain the same as a troy grain? (See Exer-cise 45.)b. 1 oz ap=oz troy.c. An aspirin tablet contains 5.00 X 102mg of active ingredi-ent. What mass in grains ap of active ingredient does it con-tain? What mass in scruples?d. What is the mass of 1 scruple in grams?47. Science fiction often uses nautical analogies to describe spacetravel. If the starshipu.S.S.Enterpriseis traveling at warpfactor 1.71, what is its speed in knots and in miles per hour?(Warp 1.71=5.00 times the speed of light; speed of light=3.00 X 108m/s;1 knot=2000 yd/h, exactly.)48. The world record for the hundred meter dash is 9.74 s. What is thecorresponding average speed in units ofmis,km/h, ft/s, and miIh?At this speed, how long would it take to run 1.00 X 102yards?49. Would a car traveling at a constant speed of 65 krnIh violate a40. miIh speed limit?50. You pass a road sign saying "New York 112 km." If you driveat a constant speed of 65 mi/h, how long should it take you toreach New York? If your car gets 28 miles to the gallon, howmany liters of gasoline are necessary to travel 112 km?
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